Commute times of random walks on trees
✍ Scribed by Konsowa, Mokhtar; Al-Awadhi, Fahimah; Telcs, András
- Book ID
- 122565393
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 215 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
## Abstract Let __C~ν~__(__T__) denote the “cover time” of the tree __T__ from the vertex __v__, that is, the expected number of steps before a random walk starting at __v__ hits every vertex of __T.__ Asymptotic lower bounds for __C~ν~__(__T__) (for __T__ a tree on __n__ vertices) have been obtain
The classical gambler's ruin problem, i.e., a random walk along a line may be viewed q raph theoretically as a random walk along a path with the endpoints as absorbing states. This paper is an i0vestigation of the natural generalization of this problem to that of a particle walking randomly on a tre